the figure below is made of two triangular prisms. what is the volume of the figure

Answer:

1. [tex]4\sqrt{5}[/tex]

2. [tex]10\sqrt{10}[/tex]

Step-by-step explanation:

When you multiply radicals, you do the following

[tex]a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}[/tex]

with that in mind

1.

[tex]\sqrt{16}\cdot \sqrt{5}[/tex]

here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4

[tex]=4\sqrt{5}[/tex]

2.

[tex]\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}[/tex]

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

https://brainly.com/question/4608493

#SPJ2

Answer: C. quadrant l

Step-by-step explanation:

Angle 694° lies Quadrant IV which is correct option (D)

A graph can be defined as a pictorial representation or a diagram that represents data or values

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

For Quadrant  I : the value of x and y both are positive ( +,+ )

For Quadrant  II :  the value of x is negative and y is positive ( -,+ )

For Quadrant  III : the value of x is negative and y is negative ( -, - )

For Quadrant  IV : the value of x is positive and y is negative ( +, - )

Locate the quadrant of the angle.

If the angle is greater than 360°,

Subtract 360° until the angle is less than 360°.

⇒ 694 - 360

⇒ 334°

Hence, angle 694° lies Quadrant IV

Learn more about the quadrant of graph here:

https://brainly.com/question/7196312

#SPJ2

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

Answer:

donkey kong

Step-by-step explanation:

ssasdasdasdasdasdasda

Answer:

its c

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

Answer:

2(-2)+1

Step-by-step explanation:

All you have to do is replace x with-1

Answer:

The CD player's price decreased by 35%

Answer:

b=-3

Step-by-step explanation:

distribute 3(b-2) and you get 3b-6.

-3+4b=3b-6

add 3 on both sides.

4b=3b-3

-3b on both sides

b=-3

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have a right triangle,

a^2+b^2=c^2

10^2=4^2+b^2

100=16+b^2

100-16=b^2

84=b^2

b=9.16

Answer:

x = -3.5

Step-by-step explanation:

POE = PROPERTY OF EQUALITY

3*2 + 2x + 1 = 0

6 + 2x + 1 = 0 ## ^ Multiplication

7 + 2x = 0 ## ^ Combine like-terms

2x = -7 ## ^ Subtraction POE

x = -3.5 ## ^ Division POE

Answer:

X=0

Step-by-step explanation:

Use PEMDAS to get rid of some things. Do 3 x 2 = 6. Then distribute the like terms to one side seperating 2x and "0": +1 ---> 0-1 = -1. Now divide... 2x/2 = x (cancels out) and 0/2 = 0. Therefore X=0. But I'm not a computer so double check your answer.

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

Answer:

a

Step-by-step explanation:

The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833

the answer is 77 enjoy please like seroislyyyyyy round 50 cold war zombies!!!

Answer:

the answer is 77 please enjoy

Step-by-step explanation:

Answer:

I think it's B and D

Step-by-step explanation:

Answer:

25000000000

Step-by-step explanation:

Answer:

First of all make me as branlist answer then I will surely send it

Answer:

Step-by-step explanation:

Sorry but there's know question.

Answer:

3.5 Inches

Step-by-step explanation:

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

Answer:

150 labels/ minute

Step-by-step explanation:

As you can see on the graph there is a point on (1,1 1/2)=150/1

Also 150*2=300 so it all makes sence

Answer:

0.4

Step-by-step explanation:

Answer:

44.128114

Step-by-step explanation:

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Answer:

4

Step-by-step explanation:

the answer is: 4

cause 4 is less than 7

Answer:

b

Step-by-step explanation:

Answer: b

Step-by-step explanation:

180°-116°=64°